What is the Greatest Common Factor of 80766 and 80780?

Greatest common factor (GCF) of 80766 and 80780 is 14.

GCF(80766,80780) = 14

We will now calculate the prime factors of 80766 and 80780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80766 and 80780.

How to find the GCF of 80766 and 80780?

We will first find the prime factorization of 80766 and 80780. After we will calculate the factors of 80766 and 80780 and find the biggest common factor number .

Step-1: Prime Factorization of 80766

Prime factors of 80766 are 2, 3, 7, 641. Prime factorization of 80766 in exponential form is:

80766 = 2¹ × 3² × 7¹ × 641¹

Step-2: Prime Factorization of 80780

Prime factors of 80780 are 2, 5, 7, 577. Prime factorization of 80780 in exponential form is:

80780 = 2² × 5¹ × 7¹ × 577¹

Step-3: Factors of 80766

List of positive integer factors of 80766 that divides 80766 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 641, 1282, 1923, 3846, 4487, 5769, 8974, 11538, 13461, 26922, 40383

Step-4: Factors of 80780

List of positive integer factors of 80780 that divides 80766 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 577, 1154, 2308, 2885, 4039, 5770, 8078, 11540, 16156, 20195, 40390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80766 and 80780. The biggest common factor number is the GCF number.
So the greatest common factor 80766 and 80780 is 14.

Also check out the Least Common Multiple of 80766 and 80780